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131002220034 = 23271963438627
BaseRepresentation
bin111101000000001010…
…1110011111000000010
3110112010202210022001100
41322000111303320002
54121243032020114
6140103120115230
712315233332440
oct1720025637002
9415122708040
10131002220034
1150615379954
1221480465b16
13c47970b33a
1464aa633b90
15361ad32909
hex1e80573e02

131002220034 has 96 divisors (see below), whose sum is σ = 341552839680. Its totient is φ = 35449547616.

The previous prime is 131002220033. The next prime is 131002220039. The reversal of 131002220034 is 430022200131.

It is a super-2 number, since 2×1310022200342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131002219989 and 131002220016.

It is not an unprimeable number, because it can be changed into a prime (131002220033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15180829 + ... + 15189455.

It is an arithmetic number, because the mean of its divisors is an integer number (3557842080).

Almost surely, 2131002220034 is an apocalyptic number.

131002220034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131002220034 is an abundant number, since it is smaller than the sum of its proper divisors (210550619646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131002220034 is a wasteful number, since it uses less digits than its factorization.

131002220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 15001 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131002220034 its reverse (430022200131), we get a palindrome (561024420165).

The spelling of 131002220034 in words is "one hundred thirty-one billion, two million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 6343 8627 12686 17254 19029 25881 38058 44401 51762 57087 60389 77643 88802 114174 120517 120778 133203 155286 163913 181167 241034 266406 327826 361551 362334 399609 491739 543501 723102 799218 843619 983478 1084653 1087002 1147391 1475217 1687238 2169306 2294782 2530857 2950434 3442173 5061714 6884346 7592571 10326519 15185142 20653038 54721061 109442122 164163183 328326366 383047427 492489549 766094854 984979098 1039700159 1149142281 2079400318 2298284562 3119100477 3447426843 6238200954 6894853686 7277901113 9357301431 14555802226 18714602862 21833703339 43667406678 65501110017 131002220034